An angle has a reference angle of 40° and its terminal side lies in Quadrant III. What are a possible positive measure and a negative measure for the angle?

Answer:

  410.1 m

Step-by-step explanation:

In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.

  Tan = Opposite/Adjacent

__

  tan(C) = BA/BC

  tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values

Multiplying both sides of the equation by (608 m) gives ...

  (608 m)tan(34°) = BA

  BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths

_____

Additional comment

Other relations in the right triangle are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

These relations are collected in the mnemonic SOH CAH TOA.

Answer: Hope this helps you!

x = 4

Step-by-step explanation:

4+(x-3) = 2x-3

remove parentheses (equals to 4+1(x-3) = 2x-3 which is equal to the same equation without parentheses)

4+x-3 = 2x-3

Simply

1+x = 2x-3

subtract x from both sides

1 = 1x -3

add 3 to both sides

4 = 1x

divide by 1

4 = x

Brainliest?

The x-intercept of the function [tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex] is -3

The function is given as:

[tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex]

The x-intercept is when h(x) =0.

So, we have:

[tex]3 * \sqrt[3]{x - 5} +6 = 0[/tex]

Subtract 6 from both sides

[tex]3 * \sqrt[3]{x - 5} = -6[/tex]

Divide both sides by 3

[tex]\sqrt[3]{x - 5} = -2[/tex]

Take the cube of both sides

x - 5 = -8

Add 5 to both sides

x = -3

Hence, the x-intercept of the function is -3

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Answer:

Step-by-step explanation:

^^

Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)

Logarithmic are inverse of exponential functions. Given the following functions;

g(x)=log2x and g(x)=log10x

The point where the graphs intersect is the point where g(x) = g(x)

Equate

log2x = log10x

2x = 10x

The value of x that made them equal is 0

Determine the value of g(x)

g(0) = log2(0)

g(0) = ∞

Hence the point where graph of f and g intersect is (0, ∞)

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Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

[tex]T_{n} = 4n -2[/tex]

[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]

Answer: 1.601 × 10^-1

Step-by-step explanation: 1 minute = 60 seconds or 1 second = 1/60 minutes

9.63 seconds = 9.63/60 minutes

9.63/60 = 963/6x1000 = 321/2x1000

=160.1/1000=1.601/10 = 1.601 x 10^-1 minutes :)

Answer: It should look something like this.

Step-by-step explanation:

The graph of f(x) = (x + 3)(x - 2) is a parabolic function that is the product of two linear factors, (x + 3) and (x - 2).

The graph is given below.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To understand the graph, we can begin by considering the x-intercepts, which are the points where the graph crosses the x-axis.

These occur where the value of f(x) is zero, which happens when either

x + 3 = 0 or x - 2 = 0.

So the x-intercepts are x = -3 and x = 2.

Next, we can consider the leading coefficient, which is 1 in this case.

Since the leading coefficient is positive, the parabola opens upward.

We can also find the vertex of the parabola by completing the square.

We have:

f(x) = x² + x(-2 + 3) - 2(-3)

f(x) = x² + x + 6

Now we can rewrite this in vertex form:

f(x) = (x + 1/2)² + 23/4

So the vertex is (-1/2, 23/4), which is a minimum point on the graph.

Thus,

We can sketch the graph of f(x) = (x + 3)(x - 2) as an upward-opening parabola that crosses the x-axis at -3 and 2 and has a minimum point at (-1/2, 23/4).

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Answer:

500(10) + 600(2)

Step-by-step explanation:

Answer:

500(10) + 600(2)

Step-by-step explanatio:

500*10+600*2

 5,000+1,200

        6,200

The number of sections on the spinner so that each person has heir own shape and number is 5

The given parameters are:

People, n = 30

Die = 6 sided

Let the sections on the spinner be s.

The equation to calculate s is represented as:

People = Die * s

This gives

30 = 6 * s

Divide both sides by 6

s = 5

Hence, the number of sections on the spinner so that each person has heir own shape and number is 5

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A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. The correct option is C.

A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. For the same 3D shape, there may be multiple potential networks. You can make a net out of paper and fold it into the desired shape.

The net of the square pyramid has a square and 4 triangles. For a pyramid with a base as a polygon having n sides, the number of triangles is n.

Hence, it can be concluded that a pyramid can contain any number of triangles greater than or equal to 3. Thus, the correct option is C.

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Answer:

A and B

Step-by-step explanation:

Hello!

Parallel lines are lines with the same slope but different y-intercept.

y = mx + b

A:

y = 2x + 3 has a slope of 2 and a y-intercept of 3.

B:

y = 2x - 5 has a slope of 2 and a y-intercept of -5

C:

y = -2x + 3 has a slope of -2 and a y-intercept of 3

Since A and B have the same slope but a different y-intercept, they are parallel lines.

Answer:

[tex]a= -\dfrac 23\\\\ b = -8\\\\ c = -47[/tex]

Step-by-step explanation:

[tex]b(x) = -\dfrac 23(x+6)^2 -23\\\\\\~~~~~~=-\dfrac 23(x^2 +2\cdot 6 \cdot x +6^2) -23\\\\\\~~~~~~=-\dfrac 23(x^2 +12x +36) -23\\\\\\~~~~~~=-\dfrac 23 x^2 - \dfrac{24}3 x - \dfrac{72}{3}-23\\\\\\~~~~~~=-\dfrac 23 x^2 -8x-24-23\\\\\\~~~~~~=-\dfrac 23x^2 -8x -47\\\\\text{By comparing}~ -\dfrac 23x^2 -8x -47~\text{with the standard form, }~ ax^2 +bx +c,\\\\a= -\dfrac 23,~ b = -8~ \text{and}~ c = -47[/tex]

Volume is a three-dimensional scalar quantity. The amount of water that this tank will hold till it is a quarter full is 576.576 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The total volume of the right rectangular prism will be,

Total Volume = 17.6ft × 12.6ft × 10.4ft

                       = 2306.304 ft³

Since the total volume of the right rectangular prism is 2306.304 ft³, the water it will hold will be equal to its volume.

Now, the amount of water that this tank will hold till it is a quarter full is,

Amount of water = Total volume /4

                            = 2306.304ft³ / 4

                            = 576.576ft³

Hence, the amount of water that this tank will hold till it is a quarter full is 576.576 ft³.

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Answer:

A B and C

Step-by-step explanation:

Answer:

The answer is [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

Answer:

1. < 3
2. < 8
3. < 5
4. < 4
5. < 6
6. < 7
7. < 2
8. < 1
9. < 8

< = Angle

Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 8.4, \sigma = 1.8, n = 32, s = \frac{1.8}{\sqrt{32}} = 0.3182[/tex]

The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.9 - 8.4}{0.3182}[/tex]

Z = 1.57

Z = 1.57 has a p-value of 0.9418.

1 - 0.9418 = 0.0582.

0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

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Answer:

You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:

1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?

2. What role does creativity play in "The Bat-Poet"?

3. How does the character of Squeaky change over the course of "Raymond's Run"?

4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.

You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.

• Submit completed pre-writing and outline documents.

• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.

• Use transitions appropriate to the pattern of organization.

• Use vocabulary to create tone and voice.

• Cite primary source (quotation).

• Submit completed revision checklist.

• Vary sentence structure.

• Create sentences with parallel structures.

• Use technology in the writing process.

Step-by-step explanation:

Amir should buy the computer in Paris

Amir would pay the most sales tax in Maryland.

Amir would pay $60 in sales tax in Washington DC

The complete question is

Amir lives in Washington, DC. He wants to buy a new computer for college, and it will cost him $1,000. In Washington, DC, the sales tax rate is 6 percent. In a nearby town in paris the sales tax rate is 5 percent. A few miles away in Maryland, the sales tax rate is 9 percent. To spend the least amount total, Amir should buy the computer in . Amir would pay the most sales tax in . Amir would pay $60 in sales tax in

A sales tax is a tax paid to a governing body for the sales of certain goods and services.

In Washington, DC, the sales tax rate is 6 percent.

Paris, the sales tax rate is 5 percent.

Maryland, the sales tax rate is 9 percent.

1. To buy the computer he should prefer Paris

2. To pay the most sales tax he should prefer Maryland.

3. To  pay $60 in sales tax in he should prefer Washington DC.

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Answer:

virginia, maryland, washington

Step-by-step explanation:

edge

Answer:

1800 meter cube

Step-by-step explanation:

you know volume = W× h× b = meter cube

10 m × 12m× 15m = 1800 meter cube

x=13 and don't forget to mark me brainlist!

Answer:

Step-by-step explanation:

A.  20

B. 20 (what is the 30 thing)

C. 28

D. 36

E. 20

F. 96

Answer:

18%

Step-by-step explanation:

178 200 / 990 000    x 100% = 18%

Answer:

Below

Step-by-step explanation:

100 * 170/200

= 170/2

= 85%.

Answer:

25.5

Step-by-step explanation:

I did the same assignment

Answer:
1) C
2) D
3) 26
4) A
5) 68
6) Triangle MNL

Explanation:
1) C does not equal to 180. If you add up all the numbers it adds up to 169. Any triangle; interior adds up to 180.
2) When you minus 180 - 29.1 - 80 ; it equals to 70.9.
3) 180 - 32 - 122 = 26. You could also add 32 + 122; getting 154. Then 180 - 154.
4) We see a square box, meaning it's a right triangle. 180 - 90 - 42.7 = 47.3.
5) You can draw a picture to help you and see it visualize it. But it's the same process : 180 - 97 - 15 = 68
6) The whole triangle was 180. Equaling the whole as 108 was wrong.

- Hope this helps!

Answer:

Father=36 years old

Step-by-step explanation:

5 people 4 children and a father

average age=12

add the ages

3+5+6+10=24

24+12=36

check the work

36 +24=60

60/5=12

answer=36

Answer:

36 years old

Step-by-step explanation:

The average age of father and four children can be expressed in mathematics as:

[tex]\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}[/tex]

The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:

[tex]\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}[/tex]

Determine or let the following be:

It is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:

[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}[/tex]

From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.

First, multiply 5 both sides to get rid of denominator.

[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}[/tex]

Evaluate 3+5+6+10 which equals 24.

[tex]\displaystyle \large{f+24=60}[/tex]

Next, subtract both sides by 24 to isolate f-term.

[tex]\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}[/tex]

Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!

If you have any doubts, please let me know in the comment!

Answer:

1.  25%

2 and 3:  See below.

Step-by-step explanation:

1.  There are 4 letters in the box, all different.  The odds of randomly picking 1 letter is 1/4, or 25%  That is true for any of the letters.

Questions 2 and 3 technically cannot be answered.  In both cases, the selection process involves more than random chance.  The selection of a nurse depends on qualifications such as training and experience.  Winning the math quiz depends on knowledge and practice.  Neither question is a random selection.

If the questions were random, the answers would be:

2.  1/5 or 20% that Eunice gets picked, and

2.  6/10 or 60% that a girl wins